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TMUAmockz Set 1 Paper 2 · Q16

Paper 2Logic & proofNumber & counting

The expansion of (xa+x−b)n(x^a+x^{-b})^n, where a,b,na,b,n are positive integers, contains a constant term. Which of the following is/are necessary and sufficient conditions for this, for some non-negative integer kk?

  • I. k(a+b)=ank(a+b)=an
  • II. k(a+b)=bnk(a+b)=bn
  • III. ka=nbka=nb
AI only
BII only
CIII only
DI and II only
EI and III only
FII and III only

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